264090053 has 16 divisors (see below), whose sum is σ = 290095344. Its totient is φ = 239385600.

The previous prime is 264090049. The next prime is 264090059. The reversal of 264090053 is 350090462.

It can be written as a sum of positive squares in 8 ways, for example, as 95687524 + 168402529 = 9782^2 + 12977^2 .

It is a cyclic number.

It is not a de Polignac number, because 264090053 - 2² = 264090049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 264089998 and 264090025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264090059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61451 + ... + 65607.

It is an arithmetic number, because the mean of its divisors is an integer number (18130959).

Almost surely, 2^264090053 is an apocalyptic number.

It is an amenable number.

264090053 is a deficient number, since it is larger than the sum of its proper divisors (26005291).

264090053 is a wasteful number, since it uses less digits than its factorization.

264090053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 264090053 is about 16250.8477625015. The cubic root of 264090053 is about 641.5797991437.

The spelling of 264090053 in words is "two hundred sixty-four million, ninety thousand, fifty-three".